Calculate Gibbs energy change for a reaction having $\Delta \mathrm{H}=31400 \mathrm{~J}, \Delta…

Calculate Gibbs energy change for a reaction having $\Delta \mathrm{H}=31400 \mathrm{~J}, \Delta \mathrm{~S}=32 \mathrm{JK}^{-1}$ at $1000^{\circ} \mathrm{C}$ ?
  1. -4668 J
  2. -9336 J
  3. -4073 J
  4. -2334 J

Solution

$\begin{aligned} & \mathrm{T}=1000^{\circ} \mathrm{C}=1273 \mathrm{~K} \\ & \Delta \dot{G}=\Delta \mathrm{H}-\mathrm{T} \Delta \mathrm{~S} \\ & =31400 \mathrm{~J}-1273 \mathrm{~K}\left(32 \mathrm{~J} \mathrm{~K}^{-1}\right) \\ & =3.1400 \mathrm{~J}-40736 \mathrm{~J} \\ & \Delta \mathrm{G}=-9336 \mathrm{~J} \end{aligned}$

Asked in: MHT CET 2024 (03 May Shift 1)

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